Diffraction of singularities for the wave equation on manifolds with corners
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Publication
2013 - Société mathématique de France, Paris, France
Language
English
Word Count
33,750 words, Guess
Page Count
135 pages
Identifiers
- Open LibraryOL44749920M
- ISBN-139782856293676
- ISBN-102856293670
- OCLC Control Number857878806
- OCLC Control Number855333253
Classifications
- LCCQC174.26.W28 M45 2013
Description
"We consider the fundamental solution to the wave equation on a manifold with corners of arbitrary codimension. If the initial pole of the solution is appropriately situated, we show that the singularities which are diffracted by the corners (i.e., loosely speaking, are not propagated along limits of transversely reflected rays) are smoother than the main singularities of the solution. More generally, we show that subject to a hypothesis of nonfocusing, diffracted wavefronts of any solution to the wave equation are smoother than the incident singularities. These results extend our previous work on edge manifolds to a situation where the fibers of the boundary fibration, obtained here by blowup of the corner in question, are themselves manifolds with corners."--Page 4 of cover.
Subjects
Series Statement
- Astérisque -- Vol. 351
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